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Prove that the straight line joining the...

Prove that the straight line joining the points (4, 5, 0) and (5, 3, 3) is parallel to the straight line joining the point (4, 3, -3) and (6, -1, 3).

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CHHAYA PUBLICATION-DIRECTION COSINES AND DIRECTION RATIOS-Exercise 3 : Short Answer Type Questions
  1. If O is the origin and A(2, 3, 1), B(1, 1, -5) are two given points th...

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  2. Show that the staright line joining the points (-1, 0, -2) and (1, 3, ...

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  3. Prove that the straight line joining the points (4, 5, 0) and (5, 3, 3...

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  4. Calculating the angle of the triangle, prove that the points A(3, 4, -...

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  5. Find the acute angle between x-axis and the straight line joining the ...

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  6. Calculating direction ratios show that the triangle formed by joining ...

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  7. Straight lines OA and OB are drawn from the origin O, if the direction...

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  8. Find the coordinates of the foot of the perpendicular drawn from the p...

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  9. Determine the values of a and b for which the straight line joining th...

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  10. If the straight line joining the points (4, -3, 2) and (3, -1, 5) is p...

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  11. Find the acute angle between two straight lines whose direction number...

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  12. Let A(2, -3, -1), B(4, 5, 2), C(-3, 4, 1) and D(2, 3, 5) are four give...

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  13. Using direction ratios prove that the points (4, 2, -6), (5, -3, 1), (...

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  14. Using direction numbers show that points P(4, 7, 8) and Q(2, 3, 4), R(...

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  15. Let l(1), m(1), n(1) and l(2), m(2), n(2) be the direction ratios of t...

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  16. Let P(-9, 4, 5) and Q(11, 0, -1) be two given points. If O be the orig...

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  17. Let A(-2, 0, 3), B(0, 3, -3), C(3, 3, 5) and D(5, 4, 3) be four given ...

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  18. Find the acute angle between the two straight lines whose direction co...

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  19. Find the angle between the two straight lines whose direction cosines...

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  20. Find the angle between the two straight lines whose direction cosines...

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